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Strategy-Proof and Symmetric Social Choice Functions for Public Good Economies

Author

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  • Shigehiro Serizawa

Abstract

For economies with one private good and one public good, the author discusses social choice functions satisfying the following requirements: strategy-proofness--representing true preferences is a dominant strategy; symmetry--two agents having the same preference pay equal cost shares--anonymity--when agents' preferences are switched, so are their consumption bundles; and individual rationality--allocations making agents worse off than their initial situations are never obtained. Theorem 1 characterizes strategy-proof, budget-balancing, and symmetric social choice functions under convex public good technology. Theorems 2 and 3 characterize such functions without the convexity assumption, but employ anonymity and individual rationality requirements respectively.

Suggested Citation

  • Shigehiro Serizawa, 1999. "Strategy-Proof and Symmetric Social Choice Functions for Public Good Economies," Econometrica, Econometric Society, vol. 67(1), pages 121-146, January.
  • Handle: RePEc:ecm:emetrp:v:67:y:1999:i:1:p:121-146
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    Citations

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    Cited by:

    1. William Thomson, 2016. "Non-bossiness," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 47(3), pages 665-696, October.
    2. Beviá, Carmen & Corchón, Luis C., 2009. "Cooperative production and efficiency," Mathematical Social Sciences, Elsevier, vol. 57(2), pages 143-154, March.
    3. Kazuhiko Hashimoto & Kohei Shiozawa, 2016. "Strategy-Proof Probabilistic Mechanisms for Public Decision with Money," ISER Discussion Paper 0964, Institute of Social and Economic Research, Osaka University.
    4. Barbera, S. & Masso, J. & Serizawa, S., 1998. "Strategy-Proof Voting on Compact Ranges," Games and Economic Behavior, Elsevier, vol. 25(2), pages 272-291, November.
    5. Dolors Berga & Bernardo Moreno, 2009. "Strategic requirements with indifference: single-peaked versus single-plateaued preferences," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 32(2), pages 275-298, February.
    6. Shigehiro Serizawa, 2006. "Pairwise Strategy-Proofness and Self-Enforcing Manipulation," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 26(2), pages 305-331, April.
    7. Salvador Barberà & Dolors Berga & Bernardo Moreno, 2016. "Group Strategy-Proofness in Private Good Economies," American Economic Review, American Economic Association, vol. 106(4), pages 1073-1099, April.
    8. Özgür Kıbrıs & İpek Tapkı, 2014. "A mechanism design approach to allocating central government funds among regional development agencies," Review of Economic Design, Springer;Society for Economic Design, vol. 18(3), pages 163-189, September.
    9. Serizawa, Shigehiro, 2002. "Inefficiency of Strategy-Proof Rules for Pure Exchange Economies," Journal of Economic Theory, Elsevier, vol. 106(2), pages 219-241, October.
    10. Itai Ashlagi & Shigehiro Serizawa, 2012. "Characterizing Vickrey allocation rule by anonymity," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 38(3), pages 531-542, March.
    11. Ohseto, Shinji, 2000. "Characterizations of Strategy-Proof Mechanisms for Excludable versus Nonexcludable Public Projects," Games and Economic Behavior, Elsevier, vol. 32(1), pages 51-66, July.
    12. repec:eee:jetheo:v:170:y:2017:i:c:p:56-69 is not listed on IDEAS
    13. Joseph Ostroy & Uzi Segal, 2012. "No externalities: a characterization of efficiency and incentive compatibility with public goods," Social Choice and Welfare, Springer;The Society for Social Choice and Welfare, vol. 39(4), pages 697-719, October.
    14. Salvador Barberà, 2010. "Strategy-proof social choice," UFAE and IAE Working Papers 828.10, Unitat de Fonaments de l'Anàlisi Econòmica (UAB) and Institut d'Anàlisi Econòmica (CSIC).
    15. Diego Moreno & María Moscoso, 2013. "Strategy-proof allocation mechanisms for economies with public goods," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 52(1), pages 315-336, January.
    16. John A. Weymark, 2008. "Strategy-Proofness and the Tops-Only Property," Journal of Public Economic Theory, Association for Public Economic Theory, vol. 10(1), pages 7-26, February.
    17. Katsuhiko Nishizaki, 2013. "No-envy and dominant strategy implementability in non-excludable public good economies with quasi-linear preferences," Economics Bulletin, AccessEcon, vol. 33(1), pages 557-563.
    18. Shinji Ohseto, 2010. "Serial Mechanisms For The Provision Of An Excludable Public Good," The Japanese Economic Review, Japanese Economic Association, vol. 61(4), pages 507-516, December.
    19. Jin Li & Jingyi Xue, 2013. "Egalitarian division under Leontief Preferences," Economic Theory, Springer;Society for the Advancement of Economic Theory (SAET), vol. 54(3), pages 597-622, November.

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